1086804823104 has 672 divisors, whose sum is σ = 4207969898496. Its totient is φ = 258989322240.

The previous prime is 1086804823081. The next prime is 1086804823121. The reversal of 1086804823104 is 4013284086801.

1086804823104 is a `hidden beast` number, since 1 + 0 + 8 + 68 + 0 + 482 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1086804823104² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1086804823104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96282549 + ... + 96293835.

It is an arithmetic number, because the mean of its divisors is an integer number (6261859968).

Almost surely, 2^{1086804823104} is an apocalyptic number.

1086804823104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086804823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103984949248).

1086804823104 is an abundant number, since it is smaller than the sum of its proper divisors (3121165075392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1086804823104 is a wasteful number, since it uses less digits than its factorization.

1086804823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1086804823104 in words is "one trillion, eighty-six billion, eight hundred four million, eight hundred twenty-three thousand, one hundred four".